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Finding the Fourth Proportional to 923.70, 1,274.68 and 509.70

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Solution

The fourth proportional to 923.70, 1,274.68 and 509.70 is: 703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.70 : 1,274.68 = 509.70 : x
  2. Step 2: Convert to fraction form
    923.70/1,274.68 = 509.70/x
  3. Step 3: Cross multiply
    923.70x = 1,274.68 × 509.70
  4. Step 4: Simplify right side
    923.70x = 649,704.40
  5. Step 5: Solve for x
    x = 649,704.40/923.70
  6. Step 6: Final answer
    x = 703.37

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.